q would need to be 3.26 x 10^-7 Coulombs to make the magnitude of the electric field 0.00562 meters away from the surface equal to 5.85 n/C.
The magnitude of the electric field at a point near a flat charged surface is given by:
E = Q / (4 * pi * epsilon_0 * A)
where E is the electric field magnitude, Q is the charge, epsilon_0 is the vacuum permittivity, A is the area of the charged surface, and d is the distance from the surface.
We can rearrange the equation to solve for Q:
Q = E * (4 * pi * epsilon_0 * A)
Plugging in the given values:
Q = 5.85 nC * (4 * pi * 8.85 x 10^-12 C^2/N m^2 * 8.43 m^2)
Q = 3.26 x 10^-7 C
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the test charge is launched from point x with an initial speed v0 and is observed to pass through point y. is the speed of the test charge at point y greater than, less than, or equal to v0? explain your reasoning.
It is impossible to determine the speed of the test charge at point y based solely on the information provided. The speed of the charge at point y could be greater than, less than, or equal to v0 depending on various factors such as the presence of electric or magnetic fields, resistance, or other forces that may have acted on the charge between points x and y. A detailed analysis of the situation taking into account all relevant factors would be required to determine the speed of the charge at point y.
About Speed ChargeSpeed Charge is a derived quantity derived from the principal quantities of length and time, where the formula for speed is distance divided by time. Velocity is a vector quantity that indicates how fast an object is moving. The magnitude of this vector is called speed and is expressed in meters per second.
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Vector & has a magnitude of 3.2 units and makes +45° with the +x-axis. Vector b has a magnitudeof 2.4 units, and makes +290° with the +x-axis. What is the dot product of the two vectors?A) -3.2(B -2.5c 3.2D) 2.4E 5.6
a) -3.2 is the scalar product or dot product between the two vectors A and B
We know that the angle is measured from the +ve x-axis in the anti-clockwise direction.
The dot product is the multiplication of the magnitude of 2 vectors with the cosФ.
of the angle between them
Ф = Ф1 - Ф2
= 290-45
= 245°
A.B = A B cosФ
= 3.2 2.4 cos 245°
= - 3.24
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An object is initially at rest and then accelerates for a time interval At. After At, the object has displaced 1.5 m in the +x-direction and has an instantaneous velocity of 3.5 m/s in the +x-direction. Using relevant expressions from the reading, determine: (a) The average acceleration of the object (b) The time it took the object to travel 1.5 meters (c) The average velocity of the object during this period of motion
a) Average acceleration of the object would be 3.5 m/s / At.
b) The time it took the object to travel 1.5 meters is (2 × distance / acceleration) ^(1/2).
c) The average velocity of the Object during this period of motion 1.5 m / time.
What is average velocity?Average velocity is a measure of the change in an object's position over a certain time period. It is calculated as the total distance traveled divided by the total time elapsed. Mathematically, it is represented as:
average velocity = (final position - initial position) / time interval
a) Average acceleration of the object can be determined using the equation:
average acceleration = change in velocity / time interval
Since the final velocity of the object is 3.5 m/s, and it was initially at rest (velocity = 0 m/s), the change in velocity is 3.5 m/s.
So,average acceleration = 3.5 m/s / At
b) The time it took the object to travel 1.5 meters can be determined using the equation:
distance = initial velocity * time + (1/2) * acceleration * time^2
Since the initial velocity was 0 m/s and the acceleration is the average acceleration determined in (a), we can rearrange the equation and solve for time:
time = (2 × distance / acceleration)^(1/2)
c) The average velocity of the Object during this period of motion can be determined using the equation:
average velocity = total distance traveled / total time elapsed
Since the object traveled a total distance of 1.5 meters and the time elapsed is the time determined in (b), we can calculate the average velocity:
average velocity = 1.5 m / time.
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1. Every human cell (when in the non-diving state) contains a total of 6x 109 base-pairs of DNA. The separate between the base pairs on DNA strands is about 3.3 Angstrom. Calculate the total length of DNA in every cell. Express the answer in meters and round to an integer number.2. The diameter of a typical human cell is 10 um. Based on your answer to the previous question, how many cells can one line up along the length of the DNA from one cell?
1. To calculate the total length of DNA in a human cell, we first need to convert the number of base pairs to meters.
The distance between base pairs is given as 3.3 Angstroms, so we need to convert this to meters.
1 Angstrom = 10^-10 meters
So, 3.3 Angstrom = 3.3 x 10^-10 meters
The total number of base pairs in one cell is 6 x 10^9, so the total length of DNA in one cell is:
6 x 10^9 base-pairs x 3.3 x 10^-10 meters/base-pair = 0.198 meters
2. To calculate the number of cells that can be lined up along the length of the DNA from one cell, we need to divide the length of the DNA by the diameter of a cell.
The diameter of a typical human cell is 10 um, so we need to convert this to meters:
10 um = 10^-6 meters
The length of DNA in one cell is 0.198 meters, so the number of cells that can be lined up along the length of the DNA from one cell is:
0.198 meters / (10^-6 meters/cell) = 1.98 x 10^6 cells
Rounding this answer to an integer number, we get 1.98 x 10^6 cells = 1,980,000 cells.
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in the human body when the triceps applies a force to the olecranon in extending the non-supported forearm at the elbow, it exemplifies: second-class levers. none of the answers are correct. first-class levers. third-class levers.
Option d. third-class levers. When the triceps applies a force to the olecranon in extending the non-supported forearm at the elbow, it exemplifies third-class levers.
In the human body, when the rear arm muscles applies a power to the olecranon in broadening the non-upheld lower arm at the elbow, it represents second rate class switches.
A second rate class switch is a switch framework where the work (the power applied by the rear arm muscles muscle) is situated between the heap (the heaviness of the lower arm) and the support (the elbow joint). In second rate class switches, the work is typically more prominent than the heap and the development is more slow contrasted with five star switches. Nonetheless, second rate class switches give a mechanical benefit, implying that a more modest power can be utilized to move a bigger burden.
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The complete question is in the human body when the triceps applies a force to the olecranon in extending the non-supported forearm at the elbow, which of the following class levers:
a. second-class levers.
b. first-class levers.
c. none of the answer are correct.
d. third-class levers.
In a typical IR spectrum, what name describes the units shown on the x-axis?
The units shown on the x-axis of a typical IR spectrum are usually called wavenumbers (cm⁻¹).
What is IR spectrum?An IR spectrum is a graph that displays the intensity of infrared light at different wavelengths. It is used to identify and characterize a variety of molecules. By recording the infrared spectrum of a sample, scientists can determine the molecular structure of a substance. This is because different molecular structures absorb different amounts of infrared light at different frequencies. The IR spectrum is made up of distinct peaks which correspond to specific bonds in the molecule. The position, intensity and shape of the peaks provide information on the type of bonds and the number of atoms present in the molecule.
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What is the ratio of the density of a material to the density of water?
The ratio of density of a material to the density of water is known as relative density or specific gravity.
According to water at 4 °C, specific gravity often refers to relative density.
A substance's specific gravity is determined by dividing its mass by the mass of an equivalent volume of water at the same pressure and temperature. The ratio of the densities of the two materials is also this.
This physical quantity does not possess units as it is a ratio of two similar physical quantities.
The relative density of water is said to be 1, ice is 0.92, sea water is 1.03.
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the position of the particle as a function of time is given by x(t) = e-(t - 3)2, where x is in meters and t is in seconds. what is the velocity of the particle, in meters per second, at t = 2.9 s?
For a particle having a position of function e^-(t - 3)², the velocity at 2.9 s is calculated to be 0.198008 m/s.
The position of a particle is denoted by a function x(t) = e^-(t - 3)², where x is the distance and t is the time.
Differentiate the function, to find velocity.
v(x) = d/dt(x) = d/dt[e^-(t - 3)²]
v(x) = e^-(t - 3)²[-2(t - 3)]
Now, substitute the value of t = 2.9 in the equation
v(2.9) = e^-(2.9 - 3)²[-2(2.9 - 3)]
v(2.9) = e^-(-0.1)²[-2(-0.1)]
Use the exponent formula a^-b = 1/a^b
v(2.9) = 1/e^(-0.1)²[0.2]
v(2.9) = 1/e^(0.01)[0.2]
Substitute the value of e^0.01 = 1.01005
v(2.9) = (1/1.01005)[0.2]
Use the arithmetic operation of division,
v(2.9) = (0.99004)[0.2]
v(2.9) = 0.198008
Therefore, the velocity of the particle is 0.198008 m/s.
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what is the difference between heat capacity, specific heat, and latent heat? select all statements that are true. what is the difference between heat capacity, specific heat, and latent heat? select all statements that are true. latent heat describes the amount of heat energy exchanged to change the phase of an object. specific heat and heat capacity describe the amount of heat energy required to change the temperature of an object. latent heat describes the amount of heat energy required to change the temperature of an object. specific heat depends on the mass of the object while heat capacity only depends on the material the object is made of. specific heat and heat capacity describe the amount of heat energy exchanged to change the phase of an object. heat capacity depends on the mass of the object while specific heat only depends on the material the object is made of.
The amount of energy necessary to increase a substance's temperature by 1°C (1 K) per unit mass is called its specific heat capacity. The amount of energy needed to change a substance's phase without causing a temperature change is known as latent heat.
What is specific heat ?
The amount of energy required to raise a substance's temperature by one degree Celsius per gramme is referred to as specific heat. Specific heat is typically measured in calories or joules per gramme per degree Celsius. Water, for example, has a specific heat of 1 calorie (or 4.186 joules) per gramme per degree Celsius.
The value of specific heat is unaffected by the size of the sample because it is the heat capacity per unit mass.
The term "latent heat" (L) refers to the energy that is either absorbed or released when a substance undergoes a phase change. A gas to a liquid transition, a liquid to solid transition, or the reverse is possible. ld either be from a gas to a liquid or liquid to solid and vice versa.
L = Q/m
L is the specific latent heat, Q is the heat retained or discharged and m is the mass of a substance.
1) False(During phase transition temperature does not change)
2) True
3) True
4) False (energy to change phase is latent heat)
5) False
6) True
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When a system _____, ΔE is always negative.
a. absorbs heat and does work.
b. gives off heat and does work.
c. gives off heat and has work done on it.
d. absorbs heat and has work done on it.
e. none of the above is always negative.
The internal energy change, or E, is a metric for how much a system's internal energy shifts. If the internal energy change is negative, the system's internal energy must have dropped.
What is the easiest way to define energy?Reasons can be attributed to power generation as the power to work. People have figured out how to transform energy from one medium to some other then use it to accomplish tasks, making modern civilization possible.
From whence do we get our energy?The entirety of the world's electricity generating was made up of coal, nuclear energy, and shale gas in 2020. Renewable energy sources including wind, hydropower, solar, biogas, wind, and groundwater are also used to generate electricity.
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The internal energy change, or E, is a metric for how much a system's internal energy shifts. If the internal energy change is negative, the system's internal energy must have dropped.
What is the easiest way to define energy?
Reasons can be attributed to power generation as the power to work. People have figured out how to transform energy from one medium to some other then use it to accomplish tasks, making modern civilization possible.
From whence do we get our energy?
The entirety of the world's electricity generating was made up of coal, nuclear energy, and shale gas in 2020. Renewable energy sources including wind, hydropower, solar, biogas, wind, and groundwater are also used to generate electricity.
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two like charges are separated by some distance. describe quantitatively what will happen to the force exerted by one charge on the other if the distance between the charges is doubled. the force will become:
If the distance between the charges is doubled. the force will become 1/4 times.
Why do electrostatic forces exist?
Positive and negative charges are known to interact with one another. The magnitude of the electrostatic force, however, serves as a gauge for the strength of this interaction. The magnitude of the electric charges and the spacing between them both contribute to this force.
Between two charges that are separated by a distance, there is an electrostatic force. The size of each charge and the separation between them determine the strength of the electrostatic force.
F ∝ 1/r^2
F2= 1/4 xF1
As a result, the force between the charges decreases by a factor of 4 as the distance between them doubles.
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Two balloons are filled to 2.0 L at 20°C. One is filled with helium gas, while the other is filled with hydrogen gas. If the pressure exerted by the balloons are the same, we can conclude that: I. The mass of each balloon including the filled gases is the same. II. The number of molecules of gas in each balloon is the same. III. The number of moles of gas in each balloon is the same.
III. There are the same number of moles of gas in each balloon. We are aware that equal volumes of various gases contain an identical number of molecules at the same pressure and temperature.
What is volume and mass?Volume is a unit used to describe how much space a substance takes up. A physical material with mass and space-occupying properties is referred to as matter. The usual measurement of volume in physical sciences like chemistry is in cubic metres (m3).V is volume, and m is mass, therefore v = V / m. Where is density, = 1 / = -1. Where R is the ideal gas constant, T is the temperature, P is the pressure, and M is the molarity, the equation is: = RT / PM = RT / P.The amount of matter in an object or substance is measured by its mass.
• Weighted in kilos and grammes (kg).
• A balance is used to calculate mass.
• Mass, unlike weight, is unaffected by variations in gravity. For instance, a massive block of ice weighs significantly less in space due to the weaker gravity, but its mass remains constant
Mass of a substance = volume × density.
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if a solution appears red, approximately what wavelength of light is it absorbing?
A solution that appears red is absorbing light between 400 and 700 nm in wavelength.
Photons with various wavelengths make up the electromagnetic spectrum (EM) spectrum. In a narrow region of the electromagnetic spectrum, photons, which are unusual in that they exhibit both wave-like and particle-like properties, produce visible light and colors.
The wavelengths of this portion of visible light are roughly in the 400–700 nm range (one nm is equal to 10-9 meters). When all the wavelengths are present, it appears as white light. Each particular wavelength is associated with a different color.
Because all light travels at the same speed, the relationship between a wave's wavelength and frequency is inverse: as one value increases, the other value decreases.
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Because sound is a wave, it's possible to make a diffraction grating for sound from a large board of sound-absorbing material with several parallel slits cut for sound to go through. When 11 kHz sound waves pass through such a grating, listeners 8. 0 m from the grating report "loud spots" 1. 6 m on both sides of the center. What is the spacing between the slits? Use 340 m/s for the speed of sound
The diffraction grating equation, d sin θ = mλ, is used to calculate the grating spacing, d, in a diffraction grating. The equation relates the wavelength of the wave, λ, the grating spacing, d, and the diffraction angle, θ.
The diffraction angle is defined as the angle between the incident wave and the diffracted wave as it leaves the grating. The integer, m, represents the order of the diffracted wave and can be 0, 1, 2, and so on. To determine the grating spacing, you would need to know the diffraction angle, the wavelength of the 11 kHz wave, and the value of m. The speed of sound, which is 340 m/s, can then be used to calculate the wavelength of the wave. Once the wavelength is known, the diffraction grating equation can be used to determine the grating spacing.
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use a dmm to measure the electrical resistance (in ohm’s, ) of a resistor. what happens if you reverse the leads?
When the lead locations of a multimeter are switched, the electrical resistance in a circuit alters.
By injecting a little voltage into the circuit and monitoring the current, a DMM ohmmeter measures the current. Due to the included diode junctions, semiconductors are polarity sensitive in their conductivity. The recorded voltage will simply change the sign if the leads are flipped when using a handheld voltmeter. For bench meters connected to lines, caution is required since it frequently happens that the negative terminal has been connected to earth ground. The terminals of meters should not be connected to ground or instrument enclosures since doing so may accidentally short-circuit components to the ground.
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standard blueprint plans and elevations are generally drawn in is______projection.
Standard blueprint plans and elevations are generally drawn in orthographic projection.
Orthographic projection is a way of creating 2D representations of 3D objects by projecting their lines and shapes onto a flat surface. In this type of projection, parallel lines in the object remain parallel in the projection and perpendicular lines appear as perpendicular. It is used in engineering, technical drawings, and computer graphics as it provides a clear and accurate representation of the object. The final image is a combination of multiple views taken from different angles, which can be combined to create a 3D representation of the object. Orthographic projections are essential for visualizing and understanding the shape and form of objects, especially in the design and construction industries.
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15 What are the S.I. units of K so that the equation Velocity = K x density is dimensionally correct? Give your answer in terms of the basic units. (Kg ¹m45-¹)
The S.I units of K so that the equation velocity = K × density is dimensionally correct is Kg⁻¹m⁴s⁻¹
How do I determine the S.I units of K?Velocity is defined as follow:
Velocity = displacement / time
Thus, the S.I units of velocity is m/s
Density is defined as mass per unit volume i.e
Density = mass / volume
Thus, the S.I units of density is Kg/m³
With the above information, we can determine the the S.I units of K. Details below:
S.I units of velocity = m/sS.I units of density = Kg/m³S.I units of K =?Velocity = K × density
m/s = K × Kg/m³
Divide both sides by Kg/m³
K = (m/s) / (Kg/m³)
Invert
K = m/s × m³/Kg
K = m⁴/sKg
K = Kg⁻¹m⁴s⁻¹
Thus, we can conclude that the S.I units of K is Kg⁻¹m⁴s⁻¹
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What is the label of the parts of microscope?
the elements of a microscope's label The specimen's picture is enlarged by the eyepiece lens. Body tube or eyepiece tube. The eyepiece is kept in the tube. Nosepiece. unbiased lenses Stage Arm. Script clips. .
What is the definition and purpose of a microscope?A telescope is a tool that can be utilized to examine cells and other tiny objects. Through at least single lens in the microscope, an object's picture is enlarged. Because of the way this lens bends light, an object appears larger than it is.
Why is it crucial to recognize the components of a microscope?Before utilizing a microscope, you should become familiar with its various components because you'll need to learn where each one is located on your instrument.
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Let u =-121+ 2j-2k, v =j-6k, w = 6i-j + k. Which vectors, if any are (a) perpendicular? (b) Parallel?
a) Perpendicular vectors:
Two vectors are perpendicular if their dot product is equal to 0. The dot product between two vectors is defined as:
u • v = |u| |v| cos(Θ)
where Θ is the angle between the two vectors and |u| and |v| are their magnitudes. If the dot product is equal to 0, it means that the angle between the two vectors is equal to 90 degrees, so they are perpendicular.
To determine whether u, v and w are perpendicular, we can calculate the dot product between each pair of vectors.
u • v = (-121 + 2j - 2k) • (j - 6k) = -2j + 12k
u • w = (-121 + 2j - 2k) • (6i - j + k) = 2j + 6k
v • w = (j - 6k) • (6i - j + k) = -6j - 36k
Since the dot product between each pair of vectors is not equal to 0, we can conclude that u, v and w are not perpendicular to each other.
b) Parallel vectors:
Two vectors are parallel if they have the same direction or the opposite direction. To determine whether u, v and w are parallel, we can calculate the scalar multiple of one vector that would equal the other vector.
If u = kv or u = -kv, where k is a scalar, then u and v are parallel. If k = |u| / |v|, then u and v are in the same direction. If k = -|u| / |v|, then u and v are in the opposite direction.
Let's apply this to each pair of vectors:
u and v:
k = |u| / |v| = sqrt((-121 + 2j - 2k) • (-121 + 2j - 2k)) / sqrt((j - 6k) • (j - 6k)) = 11 / sqrt(73)
Since k is not equal to -|u| / |v|, we can conclude that u and v are not parallel.
u and w:
k = |u| / |w| = sqrt((-121 + 2j - 2k) • (-121 + 2j - 2k)) / sqrt((6i - j + k) • (6i - j + k)) = 11 / sqrt(97)
Since k is not equal to -|u| / |w|, we can conclude that u and w are not parallel.
v and w:
k = |v| / |w| = sqrt((j - 6k) • (j - 6k)) / sqrt((6i - j + k) • (6i - j + k)) = sqrt(73) / sqrt(97)
Since k is not equal to -|v| / |w|, we can conclude that v and w are not parallel.
Therefore, none of the vectors u, v and w are parallel to each other.
In conclusion, we found that u, v and w are neither perpendicular nor parallel to each other.
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A 1250 kg car traveling at a speed of 25.0 m/s rounds a 175 m radius curve.
Assuming the road is level, determine the coefficient of static friction between the car’s tires and the road.
Assuming that the curve is banked and the road is frictionless, determine the bank angle with respect to the horizontal.
The tire's static friction coefficient with the ground is 0.3.
What is static friction?
Static friction is a force that maintains an object at rest. Static friction is defined as the resistance one encounters when attempting to move a stationary object across a surface without actually moving their body or the surface, they are moving the object across.
Give a static friction illustration.
Static friction has an impact on an object when it is resting on a surface. For instance, when hiking through the woods, there is static friction created between your shoes and the ground with each step you take.
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Can you show me how to do this
Answer: C. 12
Weight= mass* gravity. Were going to have to do the inverse operation
Mass= weight/gravity^2. So were going to divide.
120/9.81 = 12.2324159021 or 12.
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calculate the temperature change in 200 g of water if it is heated, using 9000 cal
The heat energy for water used to raise the temperature by one degree Celsius is 4.15 J. Then temperature change in 200 g water using 9000 cal is 453 °C.
What is specific heat ?Specific heat capacity of a substance is the energy required to raise the temperature by 1 degree Celsius by one degree per one gram of the substance.
The specific heat of water is 0.415 J/°C g. Then the heat energy required by 200 g is : 200 g × 0.415 J/°Cg = 83 J/°C.
83 J of heat energy is required by 200 g of water to raise temperature by one degree Celsius. Then the temperature that can be made by 9000 cal energy is:
1 cal = 4.18 J
9000 cal = 37620 J
83 J is required for one degree. Then temperature change by 37620 J is:
37620 J/80 J°C = 453°C.
Therefore, the temperature change of water will be 453°C.
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investigating the relationship between the vertical deflection of the cantilever and the distance at which the external force is applied on the cantilever uwc maastricht
The vertical deflection of a cantilever is the amount of bending or deformation experienced by the structure when an external force is applied to it. This external force could be due to a variety of reasons, such as a weight or a wind load.
The relationship between the vertical deflection of the cantilever and the distance at which the external force is applied is an important aspect of structural engineering and can be studied through mathematical models and simulations.
When an external force is applied to a cantilever, it creates a stress and a strain in the structure. The vertical deflection is a result of the strain experienced by the cantilever, which is proportional to the stress experienced by the structure.
The relationship between the vertical deflection and the distance at which the external force is applied is given by the equation of the beam, which can be derived using mathematical models such as the Euler-Bernoulli beam theory.
One of the key factors that affects the vertical deflection of a cantilever is the location of the external force. The farther away the external force is from the fixed end of the cantilever, the less the deflection will be. Conversely, the closer the external force is to the fixed end, the greater the deflection will be.
In conclusion, the relationship between the vertical deflection of a cantilever and the distance at which the external force is applied is an important aspect of structural engineering.
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a bedding plane dips 190/80 with slicken lines on the surface that trend n60w. using a stereonet, determine the plunge of the lineation
The plunge of a lineation on a bedding plane can be determined by plotting the dip and strike of the bedding plane and the trend of the lineation on a stereonet.
How to do it:
Plot the bedding plane's dip and strike as a large circle on the stereonet.
Place a line on the stereonet to represent the lineation's trend.
The lineation plunge is represented by the point where the lineation line and the bedding plane circle intersect.
In this instance, the lineation trends N60W, while the bedding plane descends 190/80. Plotting these on a stereonet and locating their junction would yield the plunge.
Be aware that a stereonet is a type of graph paper used specifically for mapping and analysing geological features including bedding planes and lineations.
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how fast should the car be traveling just as it leaves the cliff in order to just clear the river and land safely on the opposite side?
The time and speed of the vehicle needed are:
A) The vehicle ought to go at 31.9 m/s.
B) The speed of the vehicle not long before it lands on the opposite side is 37.0 m/s.
A) If it's not too much trouble, see the joined figure for a superior portrayal of the issue. At the point when the vehicle arrives at the opposite side of the waterway, its position vector will be r₁ .The parts of this vector are r₁x and r₁y.Assuming we place the beginning of the casing of reference at the edge of the bluff, the parts of the vector r₁ will be:
r₁x = 61.0 m
r₁y = - 20.0 m + 2.1 m = - 17.9 m
The conditions for the x and y-parts of the position vector of the vehicle are the accompanying:
x = x₀ + v₀ · t,y = y₀ + 1/2 · g · t²
Where:
x = flat situation at a time t.
x₀ = beginning level position.
v₀ = beginning speed.
t = time.
y = vertical situation at a time t.
y₀ = starting vertical position.
g = speed increase because of gravity (- 9.8 m/s² thinking about the vertical bearing as certain).
Utilizing the condition of the y-part of r₁, we can make the opportunity it takes the vehicle to arrive at the opposite side of the stream. We need to set aside the opportunity at which the vector r₁y is - 17.9 m:
y = y₀ + 1/2 · g · t² (y₀ = 0 in light of the fact that the beginning of the casing of reference is situated at the edge of the bluff).
y = 1/2 · g · t²
-17.9 m = - 1/2 · 9.8 m/s² · t²
-17.9 m/ - 4.9 m/s² = t²
t = 1.91 s
Presently, utilizing the condition of the x-part, we can track down the underlying speed. We know that at t = 1.91 s, the level part of the vector r1 is 61.0 m:
x = x₀ + v₀ · t (x₀ = 0 in light of the fact that the beginning of the casing of reference is situated at the edge of the precipice).
x = v₀ · t
61.0 m = v₀ · 1.91 s
v₀ = 61.0 m/1.91 s = 31.9 m/s
The vehicle ought to go at 31.9 m/s.
B) The condition of the speed vector of the vehicle is the accompanying:
v = (v₀,+g · t)
The flat part of the speed vector is v₀, 31.9 m/s.
We should compute the worth of the upward part:
v[tex]_y[/tex] = g · t
v[tex]_y[/tex] = - 9.8 m/s² · 1.91 s
v[tex]_y[/tex] = - 18.7 m/s
Then, the speed vector of the vehicle not long before it lands on the opposite side is the accompanying:
v = (31.9, - 18.7) m/s
The extent of this vector is determined as follows:
|v| = √[(31.9 m/s)² + (- 18.7 m/s)²]
|v| = 37.0 m/s
The speed of the vehicle not long before it lands on the opposite side is 37.0 m/s.
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(Complete question) is:
A car comes to a bridge during a storm and finds the bridge washed out. The driver must get to the other side, so he decides to try leaping it with his car. The side the car is on is 20.0 m above the river, whereas the opposite side is a mere 2.1 m above the river. The river itself is a raging torrent 61.0 m wide.
A) How fast should the car be traveling just as it leaves the cliff in order to just clear the river and land safely on the opposite side?
B) What is the speed of the car just before it lands safely on the other side?
An electric field is given by E = E0j, where E0 is a constant. Find the potential as a function of position, taking V = 0 at y = 0.a) 2E0yb) -E0yc) E0yd) -2E0y
The correct answer is: c) E0y. The electric field E = E0j points in the positive y-direction. The electric potential difference between two points in an electric field is given by the line integral of the electric field between the points.
In this case, the potential difference V between two points (x1, y1) and (x2, y2) can be written as:
V = ∫ E · dr
where the integral is taken along the path connecting the two points. If we take the reference potential V = 0 at y = 0, then the potential at position (x, y) can be found by integrating the electric field along the path connecting (x, 0) and (x, y):
V(x, y) = ∫_0^y E0j · dj = E0y
So, the potential at position (x, y) in the electric field E = E0j is given by:
V(x, y) = E0y
So, the correct answer is: c) E0y
The electric field E = E0j is a constant electric field that points in the positive y-direction. The electric potential at any point (x, y) in the field can be found by integrating the electric field along the path connecting the reference point (x, 0) and the point of interest (x, y). In this case, the electric potential is proportional to the displacement in the y-direction, and the proportionality constant is E0, the magnitude of the electric field.
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A bullet shot underwater will experience "viscous drag" and follow this velocity equation: v_x(t) = v_ie^-bt where v_i = 365 m/s and b = 0.42 s^-1. The bullet has an initial position x_i = 85.1 m at t_i = 0 s. What is the location of the bullet at time t = 0.87 seconds? What is the maximum position of the bullet (if you wait a long time, what will its position be)? What is the x component of the acceleration of the bullet 0.5 seconds after the bullet is fired?
The derivative of the velocity equation, a x(t), gives the x component of the bullet's acceleration 0.5 seconds after it is fired: a x(t) = -b * v x(t) = -b * v i * e-bt = -0.42 * 365 * e-0.5 * 0.42 m/s2.
The bullet is located at x(0.87) = x i + v i * (1 - e-bt) = 85.1 + 365 * (1 - e-0.87 * 0.42) m at time t = 0.87 seconds.
The bullet's maximum location is reached when the velocity equals zero, which happens when v x(t) = 0. We obtain t = -ln(v i/v x) / b after solving for t. When the numbers are substituted, the result is t = -ln(365/0)/0.42, which is undefined because the denominator is zero.
The derivative of the velocity equation, a x(t), gives the x component of the bullet's acceleration 0.5 seconds after it is fired: a x(t) = -b * v x(t) = -b * v i * e-bt = -0.42 * 365 * e-0.5 * 0.42 m/s2.
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A 40kg child sits on a seesaw 3 meters away from the pivot point. The mass of the bar is 10kg. Where should a 30kg child sit to balance the seesaw? What is the Normal Force exerted by the pivot point?
The correct answer is 4m
Imagine the seesaw is pivoted at center
Net moment about pivot= 0
30gx × 40×3 =0
Distance, x= 4m
What is distance?
The distance between two points in physical space is the length of the straight line between them, which is the shortest possible path. It is the usual meaning of distance in classical physics, including Newtonian mechanics.Straight distance is formalized mathematically as Euclidean distance in two and three dimensional space.To know more about distance, click the link given below:
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According to the question of mass, the 30kg child should sit 1.5 meters away from the pivot point.
What is mass?
Mass is a fundamental property of matter which is a measure of the amount of matter an object contains. It is usually measured in units of grams (g), kilograms (kg), or tonnes (t). Mass is related to weight, but unlike weight, mass is not affected by gravity. Mass is a scalar quantity, meaning it has magnitude but no direction. All objects, regardless of their shape or size, have mass. Mass is an intrinsic property of matter, meaning it is always the same regardless of the environment the object is in.
The Normal Force exerted by the pivot point can be calculated by using the equation F = mg, where F is the Normal Force, m is the mass of the bar and g is the acceleration due to gravity. In this case, the Normal Force is 300N (30kg x 10m/s2).
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The concept of habituation is best exemplified by which of the following situations?
a. An infant recognizes her father's voice
b. A college student is no longer kept awake by her roommate's late night typing.
c. a kitten avoids a couch after being reprimanded for sitting on it
d. A rat learns to press a bar for food when a red light is flashed
e. A motorist drives at the speed limit when there is a police driver in sight on the highway
The concept of habituation is best exemplified by situation b, where a college student is no longer kept awake by her roommate's late night typing.
Habituation refers to the decrease in responsiveness to a stimulus after repeated exposure to it. This means that over time, the student becomes less and less responsive to the sound of typing, and it no longer disrupts her sleep.
Habituation is a basic form of learning and is thought to be an adaptive mechanism, allowing organisms to conserve energy by ignoring irrelevant stimuli. It is often observed in infants and young animals, but can occur in any organism that is capable of learning.
In situation a, an infant recognizes her father's voice, this is not an example of habituation, but rather an example of classical conditioning. In situation c, a kitten avoids a couch after being reprimanded for sitting on it, this is an example of classical conditioning or a form of punishment-based learning. In situation d, a rat learns to press a bar for food when a red light is flashed, this is an example of operant conditioning. And in situation e, a motorist drives at the speed limit when there is a police driver in sight on the highway, this is an example of social learning.
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If you are traveling 60 km, how many mph is that?
60 kilometers per hour is equal to 37.28 miles per hour.
Define distance.
Distance is the sum of an object's movements, regardless of direction. Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.
The pace at which an object's position changes in any direction is referred to as its speed. The distance traveled in relation to the time it took to travel that distance is how speed is defined. Since speed simply has a direction and no magnitude, it is a scalar quantity. You must always multiply or divide by 1.6 to determine MPH. When moving at 60 km/h, the calculation is 60/1.609344, or 37.28 mph.
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